M3 009 303 931 Mersenne number exponent details

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is 2 ^3009303931 - 1

has 905890750 decimal digits

takes 579,082.027 GHz-days to do one PRP test

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	0.3178	55.5556%	-	-	-	-	0.3178	55.5556%
Target	2⁹¹	166,645.5396	64.8352%	15000000	4500000000	72,366.3969	4.1381%	239,011.9365	66.2903%
Difference	-19	-166,645.2218	-9.2796%	-15000000	-4500000000	-72,366.3969	-4.1381%	-239,011.6187	-10.7348%

Known prime factors:
No known factors for M3009303931

P-1 results:
No P-1 results for M3009303931

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-01-21	yuki0831	RTX4070 inside	2⁷¹	2⁷²		-	-	0.159	-	-

ECM factoring results:
No ECM results for M3009303931

Lucas-Lehmer results:
No L-L results for M3009303931

PRP results:
No PRP results for M3009303931

TF factor-bounds graph:

2⁷²

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-02T12:12:48+00:00